Applied Mathematics, Dynamical Systems Concentration, M.S.

(Major Code: 17031) (SIMS Code: 776316)

This concentration focuses on interdisciplinary applications of dynamical systems and nonlinear modeling in biology, chemistry, engineering, and physics. Students with interests in modeling and analyzing real life problems through mathematics will benefit from this concentration. To enter the program, students must possess a bachelor’s degree with a strong mathematical background; furthermore, the admission requirements for the Master of Science degree in applied mathematics also apply with the exception that only one semester of mathematical analysis/advanced calculus (MATH 330 ) is required.

Advancement to Candidacy

All students must satisfy the general requirements for advancement to candidacy as described in Requirements for Master’s Degrees . In addition, the student must have passed a qualifying examination in some programs.

Core Courses

In addition to satisfying the requirements of the Master of Science Degree in Applied Mathematics, students pursuing this concentration must complete

MATH 531 - Partial Differential Equations Units: 3
or
MATH 537 - Ordinary Differential Equations Units: 3
or
MATH 638 - Continuous Dynamical Systems and Chaos Units: 3
MATH 538 - Discrete Dynamical Systems and Chaos Units: 3
MATH 630 - Applied Real Analysis Units: 3
or
MATH 668 - Applied Fourier Analysis Units: 3
MATH 636 - Mathematical Modeling Units: 3
MATH 693A - Advanced Numerical Methods: Computational Optimization Units: 3
or
MATH 693B - Advanced Numerical Methods: Computational Partial Differential Equations Units: 3
MATH 720 - Seminar Units: 1-3 (1 unit)
MATH 797 - Research Units: 1-3 (3 units)
and
MATH 799A - Thesis or Project Units: 3

500- or 600-Level Courses

The remaining units must consist of 500- or 600-level courses in mathematics or in a related area, selected with the approval of the program adviser.

Possible elective courses include:

MATH 542 - Introduction to Computational Ordinary Differential Equations Units: 3
MATH 543 - Numerical Matrix Analysis Units: 3
MATH 635 - Pattern Formation Units: 3
MATH 639 - Nonlinear Waves Units: 3
MATH 693A - Advanced Numerical Methods: Computational Optimization Units: 3
MATH 693B - Advanced Numerical Methods: Computational Partial Differential Equations Units: 3
COMP 605 - Scientific Computing Units: 3
also listed as
CS 605 - Scientific Computing Units: 3

Note

Students must select Plan A (Thesis) and give a public oral defense of the thesis. A thesis normally takes one year to complete and is done under the direction of a thesis adviser. For additional information, visit http://nlds.sdsu.edu/masters.